Answer:
slope = -2
Step-by-step explanation:
To find the slope, you can use the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line passes through, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line also passes through.
So, in order to answer the question, we need two points from the line. To find these points, look at the x and y values of the table - they form points. Thus, (-2, 0) and (-1,-2) would be two points the line passes through. Use those x and y values and substitute them into the formula. Then, solve:
[tex]slope = \frac{y_2-y_1}{x_2-x_1}\\= \frac{(-2)-(0)}{(-1)-(-2)}\\= \frac{-2-0}{-1+2} \\= \frac{-2}{1} \\= -2[/tex]
Thus, the slope is -2.
